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Finding the Fourth Proportional to 14,003.60, 19,324.94 and 7,715.97

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Solution

The fourth proportional to 14,003.60, 19,324.94 and 7,715.97 is: 10,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.60 : 19,324.94 = 7,715.97 : x
  2. Step 2: Convert to fraction form
    14,003.60/19,324.94 = 7,715.97/x
  3. Step 3: Cross multiply
    14,003.60x = 19,324.94 × 7,715.97
  4. Step 4: Simplify right side
    14,003.60x = 149,110,618.71
  5. Step 5: Solve for x
    x = 149,110,618.71/14,003.60
  6. Step 6: Final answer
    x = 10,648.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.